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Tutors Answer Your Questions about Angles (FREE)
Question 11959: The question in my books reads as follows; "In the following figure, the measure of angle 1 is 9 degrees less than half of the measure of angle 2. Determine the measure of angles 1 and 2." Using a protractor, this would be simple, but the question appears to be asking for an equation. How would I set this equation up to solve it?
~Kate
Click here to see answer by rapaljer(4667)  |
Question 13981: the question was can the measure of a complementary angle equal the exact measure of 1/2 of a supplementary angle. I did this:
1/2(180-x) = 90-x
90 - x/2 = 90-x
x/2 = x
because i got x/2 = x -- I said yes, and needed to explain, but got it wrong. I am just confused and would appreciate any help.
Click here to see answer by longjonsilver(2297)  |
Question 14151: A pratical question: I was having coffee this morning, and a couple who are building a go cart track were asking this: They want to know the slant of one corner. They know how far it is across the track. What else do they need to know to calculate the angle of the track ? I guessed that the distance accross is one dimension needed. One of the angles would be 90 degrees. How would I figure the smaller angle , which would be the slant of the track ?
Click here to see answer by longjonsilver(2297)  |
Question 14476: Does anyone know how to do this?
Q.) Find the measure of each acute interior angle of a regular pentoGRAM.
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I know that the triangles of a pentogram have two equal sides and and two congruent angles. And I know that if I divide the pentogram into triangles I get 8 triangles so the sum of the measures of the insides of the intire pentogram is 8x180 = 1440
and
all of the little trianles formed by the pentogram will be the same measure.
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Maybe this can help, these are the theorems and corollaries being used in this section:
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Theorem 2.5.2 : The sum(S)of the measures of the interior angles of a polygon with (n) sides is given by S=(n-S)*180 (note that n>2 for any polygon)
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Theroem 2.5.1 : The total number of diagonals(D) in a polygone on (n) sides is given by the formula: D= (n)(n-3) divided by 2
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Corollary 2.5.3 : The measure (I) of each interior angle of a regular polygon of (n) sides is: I=(n-2)*180 degrees divided by (n)
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Corollary 2.5.4 : The sum of four interior angles of a quadrilateral is 360 degrees.
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Corollary 2.5.5 : The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360 degrees
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Corollary 2.5.6 : The measure(E) of each exterior angle of a regular polygon of (n) sides is E= 360 degrees divided by (n)
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I went to tutoring at the college for this problem and the tutor kept pulling numers out of the sky...none of what she said made sense and she never got the right answer. I am getting ready to give up.
she kept telling me that one angle was 72 degrees and the other two angles are 108 degrees each.
But the sum of the measure of each of the triangles is supposed to equal 180 and that we are looking for an ACUTE angle and I told her and she didn't know what I was talking about. The answer is supposed to be 36 degrees
THANKS IN ADVANCE FOR YOUR HELP. =)
Click here to see answer by Earlsdon(6287) |
Question 15284: The sum of the measures of two angles is 120 degrees .If the measure of one of the angles is five times that of the other ,which statment is true
1-- the angles are supplementary
2-- the angles are complementary
3-- both angles are acute
4-- one angle is an acute angle and the other is an obtuse angle
Click here to see answer by rapaljer(4667)  |
Question 16166: Here is a question that was on my homework. I am not sure how to solve it. The measure of the two angles is 180. Twice the measure of angle x equals three times the measure of angle w. What are the measure of angles x and w?
Click here to see answer by rapaljer(4667)  |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670
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